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SUMMARY:Quantum Algorithms for Numerical PDEs [Colloquium CRC 1720]
DTSTART:20260120T131500Z
DTEND:20260120T141500Z
DTSTAMP:20260913T013400Z
UID:indico-event-831@math-events.uni-bonn.de
CONTACT:sfb1720-seminar@uni-bonn.de
DESCRIPTION:Speakers: Daniel Peterseim\n\nSolving partial differential equ
 ations (PDEs) numerically leads to very large linear and nonlinear systems
 \, particularly in high-dimensional and multiscale settings\, where classi
 cal algorithms face significant computational challenges. Quantum computin
 g offers new algorithmic possibilities for addressing such problems. In th
 is talk\, we derive examples of quantum algorithms in this context that ad
 dress key challenges such as nonunitarity\, nonlinearity\, and preconditio
 ning. For linear elliptic PDEs with multiscale features and high dimension
 ality\, we present quantum solvers inspired by classical multilevel precon
 ditioning techniques. Using targeted amplitude amplification techniques\, 
 we also derive quantum algorithms for solving large nonlinear systems. Rig
 orous runtime bounds establish a theoretical quantum advantage\, and proof
 -of-concept experiments on quantum simulators and noisy quantum hardware p
 rovide a practical assessment of current capabilities. \n\nhttps://math-e
 vents.uni-bonn.de/event/831/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/831/
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